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Finding the Fourth Proportional to 32,902.58, 49,346.58 and 13,175.84

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Solution

The fourth proportional to 32,902.58, 49,346.58 and 13,175.84 is: 19,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.58 : 49,346.58 = 13,175.84 : x
  2. Step 2: Convert to fraction form
    32,902.58/49,346.58 = 13,175.84/x
  3. Step 3: Cross multiply
    32,902.58x = 49,346.58 × 13,175.84
  4. Step 4: Simplify right side
    32,902.58x = 650,182,642.63
  5. Step 5: Solve for x
    x = 650,182,642.63/32,902.58
  6. Step 6: Final answer
    x = 19,760.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.